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SUMMARY:Inverted orbits of exclusion processes\, diffuse-extensive-amenabi
 lity and (non-?)amenability of the interval exchanges
DTSTART:20180514T140000
DTEND:20180514T150000
DTSTAMP:20260407T102923Z
UID:ed645ff67800cbf555f7bdd26fb6497d0df89a25574c3fbd9279324b
CATEGORIES:Conferences - Seminars
DESCRIPTION:Christophe Garban (Lyon)\nAfter a brief introduction on the no
 tion of amenability for groups\, I will focus on the group of interval exc
 hanges (the IET group) which is believed to be amenable. One of the (many)
  equivalent criteria to show that a group is amenable is Kesten's criterio
 n on the return probabilities of random walks. In the case of G=IET\, a re
 cent work by Juschenko\, Matte Bon\, Monod and De La Salle provides a new 
 criterion which is also of probabilistic nature. This new criterion involv
 es the size of the inverted orbit of a certain random walk on the wobbling
  group W(Z^d) of permutations of Z^d. The aim of this talk will be to intr
 oduce natural models of random walks on permutations of Z^d for which this
  criterion can be analyzed.\n\nThe talk will not require any prerequisites
 .
LOCATION:MA 12
STATUS:CONFIRMED
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